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Finding the Third Proportional to 135,936 and 299,520

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Solution

The third proportional to 135,936 and 299,520 is: 659,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,936 : 299,520 = 299,520 : x
  2. Step 2: Convert to fraction form
    135,936/299,520 = 299,520/x
  3. Step 3: Cross multiply
    135,936x = 299,520 × 299,520
  4. Step 4: Simplify right side
    135,936x = 89,712,230,400
  5. Step 5: Solve for x
    x = 89,712,230,400/135,936
  6. Step 6: Final answer
    x = 659,959.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.